[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-143077-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-143077-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","mathematics-entrance-examination-18-april-2021","Mathematics Entrance Examination - 18 April 2021","","Mathematics Entrance Examination for Westminster International University in Tashkent, dated 18 April 2021, tests a wide range of algebra, number, geometry and word-problem skills. The paper includes exact-value surds, polynomial simplification, scale-factor calculations from a map, fractions and end-of-year bonus spending, and practical geometry tasks such as ramp length, circle areas and packing cylindrical cans. Later questions address simultaneous equations, standard form with indices, perimeters, expressions and equation solving, plus an overtaking distance-time scenario and triangle height measurement.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/mathematics-entrance-examination-18-april-2021/143077/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/mathematics-entrance-examination-18-april-2021/143077.png","ImageObject",300,407,{"name":42,"@type":43},"Patrick","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",19,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What mathematical topics are covered in the entrance examination?","Question",{"text":63,"@type":64},"The paper covers exact surd values, algebraic simplification, simultaneous equations, standard form with indices, and multiple geometry-and-measurement tasks such as circles, ramps, perimeters, and triangle height.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How does the map-scale question work?",{"text":68,"@type":64},"The test states a scale of 1:500,000 and gives a map distance (BC = 2.1 cm). Students convert the map distance into the real-life distance using the scale factor and choose the correct option.",{"name":70,"@type":61,"acceptedAnswer":71},"What do the cyclists question ask students to calculate?",{"text":72,"@type":64},"The question describes two cyclists moving at different speeds and requires the time for the faster cyclist to gain a specified relative distance (8 m), followed by the distance traveled in that time.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},143077,1787692665,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":116,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":80,"read_time":143},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","Westminster International University in  \nTashkent  \nMathematics Entrance Examination  \n18 April 2021  \nTime allowed: One hour ten minutes  \nCandidate name:Telegram: @FRstudy +998 90 942 58 14  \nTelegram: @FRstudy +998 90 942 58 14  \n1. Find  the exact value of:  \n√214 + √3 1000  \nCircle the correct answer:  \na) 11  \nb) 11.5  \nc) 10  \nd) 12  \n(2 marks)  \n2. Simplify:  \nx 2 − 5x − 14  \nx 2 − 4  \nCircle the correct answer:  \na) 􀯫􀯫62 b) 􀯫􀯫61 c) 􀯫􀯫72) d) 􀯫􀯫61  \n(2 marks)  \n3. The map alongside has a scale of 1 : 500 000  \nwhich means that 1 cm on the map represents 500000 cm in real life.  \nIf the distance BC = 2.1 cm on the map, find the actual distance between B and C.  \nCircle the correct answer:  \na) 11 km  \nb) 11.5 km  \nc) 10.5 km  \nd) 12 km  \n(2 marks)  \nTotal for this page: 6 marks  \nTelegram: @FRstudy +998 90 942 58 14  \nTelegram: @FRstudy +998 90 942 58 14  \nSally was paid $1830 as an end of year bonus for doing well at her job. She spent 13 of it on clothing, 14 on sporting goods, and 112 on jewellery.  \n4. What fraction did she spend?  \nCircle the correct answer:  \na) 23 b) 24 c) 37 d) 57  \n(2 marks)  \n5. How much of the money was left?  \nCircle the correct answer:  \na) $ 310  \nb) $ 510  \nc) $ 600  \nd) $ 610  \n(2 marks)  \n6. A ramp is built to enable wheelchair access to a building that is 24 cm above ground level. The ramp has a constant slope of 2 in 15, which means that for every 15 cm horizontally it rises 2 cm.  \nCalculate the length of the base of the ramp.  \nCircle the correct answer:  \na) 110  \nb) 210  \nc) 300  \nd) 180  \n(4 marks)  \nTotal for this page: 8 marks  \nTelegram: @FRstudy +998 90 942 58 14  \nTelegram: @FRstudy +998 90 942 58 14  \n7. A shape is made of up two circles.  \nThe diameter of the large circle is 12cm.  \nThe area of the shaded region is 50cm²  \nFind the diameter of the smaller inner circle.  \nGive your answer to 2 decimal places  \nCircle the correct answer:  \na) 8.23  \nb) 7.45  \nc) 5.89  \nd) 8.96  \n(4 marks)  \n8. Empty cans are packed into boxes.  \nThe diameter of each can is 6cm and the height is 10cm.  \nThe measurements of the box are shown below.  \nCans are packed into the box until it is full.  \nHow many cans can be packed into the box?  \nCircle the correct answer:  \na) 1500  \nb) 2000  \nc) 1800  \nd) 1900  \n(4 marks)  \nTotal for this page: 8 marks  \nTelegram: @FRstudy +998 90 942 58 14  \nTelegram: @FRstudy +998 90 942 58 14  \nTwo cyclists are travelling side by side along a long straight cycle track, one at 30 km/hand the other at 31 km/h. The faster cyclist wishes to overtake the slower one, and will need gain 8 m relative to the slower cyclist in order to do this safely.  \n9. Find the time taken for the faster cyclist to overtake the slower cyclist  \nShow your complete solution. Use the space below for your solution.  \n(6 marks)  \n10. Find the distance travelled by the faster cyclist in this time.  \nShow your complete solution. Use the space below for your solution.  \n(6 marks)  \nTotal for this page: 12 marks  \nTelegram: @FRstudy +998 90 942 58 14  \nTelegram: @FRstudy +998 90 942 58 14  \n11. 40 children take part in a school show.  \nThe ratio of boys to girls in the show is 3 : 5 35 of the children are dancers.  \nThere are 4 more singers than actors.  \nThere are twice as many boys who are singers as boys who are actors.  \nThere are 21 girls who are dancers in the show.  \nHow many girls are singers?  \nCircle the correct answer:  \na) 2  \nb) 1  \nc) 5  \nd) 6  \n(3 marks)  \n12. Amy has some identical rectangular blocks.  \nShe uses five of these blocks to make a tower.  \nFind the distance marked 􀝔  \nCircle the correct answer:  \na) 2  \nb) 4  \nc) 3  \nd) 6  \n(3 marks)  \n13. Solve this simultaneous equation y = 4x + 4  \ny = x² -1  \nCircle the correct answer:  \na) (-1; 1) (4; 24)  \nb) (-1; 0) (5; 24)  \nc) (2; 0) (2; 20)  \nd) (-2; 2) (2; 24)  \n(3 marks)  \nTotal for this page: 9 marks  \nTelegram: @FRstudy +998 90 942 58 14  \nTelegram: @FRstudy +998 90 942 58 14  \n14. Work out (2 .1 × 108 ) × (6 × 10 −5 ","cbCaiejoVp0Cde5d","https://ap.wps.com/l/cbCaiejoVp0Cde5d","pdf",369152,"English","# Mathematics Entrance Examination\n## Algebra and Numbers\n## Geometry and Measures\n## Word Problems and Reasoning","[{\"question\":\"What mathematical topics are covered in the entrance examination?\",\"answer\":\"The paper covers exact surd values, algebraic simplification, simultaneous equations, standard form with indices, and multiple geometry-and-measurement tasks such as circles, ramps, perimeters, and triangle height.\"},{\"question\":\"How does the map-scale question work?\",\"answer\":\"The test states a scale of 1:500,000 and gives a map distance (BC = 2.1 cm). Students convert the map distance into the real-life distance using the scale factor and choose the correct option.\"},{\"question\":\"What do the cyclists question ask students to calculate?\",\"answer\":\"The question describes two cyclists moving at different speeds and requires the time for the faster cyclist to gain a specified relative distance (8 m), followed by the distance traveled in that time.\"}]","Mathematics Entrance Examination - 18 April 2021 | PDF",23]